Nuprl Lemma : parallel-class-assoc
∀[T,Info:Type]. ∀[X,Y,Z:EClass(T)]. (X || Y || Z = X || Y || Z ∈ EClass(T))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
parallel-class: X || Y,
eclass: EClass(A[eo; e]),
eclass-compose2: eclass-compose2(f;X;Y),
top: Top,
subtype_rel: A ⊆r B
Latex:
\mforall{}[T,Info:Type]. \mforall{}[X,Y,Z:EClass(T)]. (X || Y || Z = X || Y || Z)
Date html generated:
2016_05_16-PM-02_28_18
Last ObjectModification:
2015_12_29-AM-11_38_54
Theory : event-ordering
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